Solve 3(x-7) (x-2)

Question

Simplify the expression

Solution

3 x^{2} - 27 x + 42

Evaluate

3 (x - 7) (x - 2)

Multiply the terms

More Steps

Evaluate

3 (x - 7)

Apply the distributive property

3 x - 3 \times 7

Multiply the numbers

3 x - 21

(3 x - 21) (x - 2)

Apply the distributive property

3 x \times x - 3 x \times 2 - 21 x - (- 21 \times 2)

Multiply the terms

3 x^{2} - 3 x \times 2 - 21 x - (- 21 \times 2)

Multiply the numbers

3 x^{2} - 6 x - 21 x - (- 21 \times 2)

Multiply the numbers

3 x^{2} - 6 x - 21 x - (- 42)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 x^{2} - 6 x - 21 x + 42

Solution

More Steps

Evaluate

- 6 x - 21 x

Collect like terms by calculating the sum or difference of their coefficients

(- 6 - 21) x

Subtract the numbers

- 27 x

3 x^{2} - 27 x + 42

Show Solution

Find the roots

Find the roots of the algebra expression

x_{1} = 2, x_{2} = 7

Evaluate

3 (x - 7) (x - 2)

To find the roots of the expression,set the expression equal to 0

3 (x - 7) (x - 2) = 0

Elimination the left coefficient

(x - 7) (x - 2) = 0

Separate the equation into 2 possible cases

x - 7 = 0 x - 2 = 0

Solve the equation

More Steps

Evaluate

x - 7 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 7

Removing 0 doesn't change the value,so remove it from the expression

x = 7

x = 7 x - 2 = 0

Solve the equation

More Steps

Evaluate

x - 2 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 2

Removing 0 doesn't change the value,so remove it from the expression

x = 2

x = 7 x = 2

Solution

x_{1} = 2, x_{2} = 7

Show Solution

3(x 7) (x 2)

Simplify the expression

Solution

Find the roots

Find the roots of the algebra expression